Far-Infrared Properties of Solids pp 134-195 | Cite as
A Graphical Survey of Free Carrier Magnetooptical Effects in Semiconductors
Abstract
Since about 1955, numerous free carriermagnetooptical experiments have been devised to study the band structure of semiconductors. Among these are magnetoplasma reflection, rotation and ellipticity, cyclotron resonance, Faraday effect, Voigt effect and certain “helicon” effects. It is rather interesting that the classical model for bound and free electrons in a magnetic field which was developed by Drude,(1) Lorentz,(2) and Voigt(3) more than sixty years ago has been carried over to semiconductors essentially intact. Indeed, many of today’s free carrier experiments are quantitatively explained on the basis of this early model. It is only necessary to introduce the effective mass (which may be anisotropic), the scattering time of the charged particle (which will vary with the scattering mechanism), and the dielectric constant of the host lattice. There are, of course, fine structure and new effects of an oscillatory nature which are explained only on the basis of quantum mechanics, but these will not be discussed here.
Keywords
Resonant Frequency Free Carrier Cyclotron Resonance Faraday Rotation Dielectric TensorPreview
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References
- 1.P. Drude, The Theory of Optics, (Tuebner, Leipzig, 1900; Dover Publications, Inc., 1959).Google Scholar
- 2.H. A. Lorentz, The Theory of Electrons, (G. W. Stechert Co., New York, 1916; Dover Publications, Inc., 1952).Google Scholar
- 3.W. Voigt, Electro- and Magneto-Optics, (Tuebner, Leipzig, 1907).Google Scholar
- 4.B. Lax and S. Zwerdling, Progress in Semiconductors, (Wiley, New York, 1960), Vol. 5, p. 223.Google Scholar
- 5.B. Lax and J. G. Mavroides, Solid State Phys. 11, 261 (1960). Edited by F. Seitz and D. Turnbull (Academic Press, New York 1960), p. 261.CrossRefGoogle Scholar
- 6.T. S. Moss, Phys. Stat. Solidi 2, 601 (1962).ADSCrossRefGoogle Scholar
- 7.B. Lax, International School of Physics “Enrico Fermi” Course XXII, Varenna, 1961 (Academic Press, New York, 1963) p. 240.Google Scholar
- 8.E. D. Palik and G. B. Wright, Semiconductors and Semimetals, Edited by R. K. Willardson and A. G. Beer (Academic Press, New York, 1967), Vol. 3, p. 421.Google Scholar
- 9.V. L. Ginzburg, Propagation of Electromagnetic Waves in Plasma, (Gordon and Breach, Inc., New York, 1961).Google Scholar
- 10.S. D. Smith, Handbuch der Physik, (Springer-Verlag, Berlin, 1967), V. 25/2a, p. 234.Google Scholar
- 11.S. Iwasa, Y. Sawada, E. Burstein and E. D. Palik, J. Phys. Soc. Japan Suppl. 21, 742 (1966).Google Scholar
- 12.M. J. Stephen and A. B. Lidiard, J. Phys. Chem. Solids 9, 43 (1959).ADSCrossRefGoogle Scholar
- 13.S. Teitler and E. D. Palik, Phys. Rev. Letters 5, 546 (1960).ADSCrossRefGoogle Scholar
- 14.B. Lax and G. B. Wright, Phys. Rev. Letters 4, 16 (1960).ADSCrossRefGoogle Scholar
- 15.W. G. Spitzer and H. Y. Fan, Phys. Rev. 106, 882 (1957).ADSCrossRefGoogle Scholar
- 16.T. S. Moss, Optical Properties of Semiconductors, (Academic Press, Inc., New York, 1959), p. 25.Google Scholar
- 17.J. M. Bennett, J. Opt. Soc. Am. 54, 612 (1964).ADSCrossRefGoogle Scholar
- 18.W. R. Smythe, Static and Dynamic Electricity, (McGraw-Hill Book Co., New York, 1968).Google Scholar
- 19.S. D. Smith, T. S. Moss and K. W. Taylor, J. Phys. Chem. Solids 11, 131 (1959).ADSCrossRefGoogle Scholar
- 20.See various articles in Plasma Effects in Solids, Proceedings of the 7th International Conference on the Physics of Semiconductors, Paris 1964 (Dunod, Paris and Academic Press, Inc., New York, 1965).Google Scholar
- 21.B. Ancker-Johnson, Semiconductors and Semimetals, Edited by R. K. Willardson and A. C. Beer (Academic Press, New York, 1966), Vol. 1, p. 379.CrossRefGoogle Scholar
- 22.E. Burstein, P. J. Stiles, D. N. Langenberg and R. F. Wallis, Report of the International Conference on the Physics of Semiconductors, Exeter 1962 (The Institute of Physics and The Physical Society, London, 1962), p. 345.Google Scholar
- 23.E. D. Palik, Applied Opt. 2, 527 (1963).ADSCrossRefGoogle Scholar
- 24.J. K. Furdyna, Appl. Opt. 6, 675 (1967).ADSCrossRefGoogle Scholar
- 25.H. S. Bennett and E. A. Stern, Phys. Rev. 137, A448 (1965).ADSCrossRefGoogle Scholar
- 26.D. L. Mitchell and R. F. Wallis, Phys. Rev. 131, 1965 (1963).ADSCrossRefGoogle Scholar
- 27.J. K. Furdyna and M. E. Brodwin, Phys. Rev. 132, 97 (1963).ADSCrossRefGoogle Scholar
- 28.C. C. Grimes and S. J. Buchsbaum, Phys. Rev. Letters 12, 357 (1964).ADSCrossRefGoogle Scholar
- 29.J. J. Hopfield, J. Phys. Soc. Japan Suppl. 21, 77(1966).Google Scholar
- 30.F. Stern, Solid State Physics 15, 299 (1963), Edited by F. Seitz and D. Turnbull, (Academic Press, New York, 1963).CrossRefGoogle Scholar
- 31.M. Born and K. Huang, Dynamical Theory of Crystal Lattices, (Oxford University Press, London, 1954).MATHGoogle Scholar
- 32.C. H. Henry and J. J. Hopfield, Phys. Rev. Letters 15, 964 (1965).ADSCrossRefGoogle Scholar
- 33.S. S. Porto, B. Tell and T. C. Damen, Phys. Rev. Letters 16, 450 (1966).ADSCrossRefGoogle Scholar
- 34.W. P. Allis, S. J. Buchsbaum and A. Bers, Waves in Anisotropic Plasmas, (MIT Press, Cambridge, Mass., 1963).Google Scholar
- 35.E. H. Holt and R. E. Haskell, Foundations of Plasma Dynamics, (Macmillan, Co., New York, 1965).Google Scholar
- 36.J. A. Stratton, ElectromagneticTheory (McGraw-Hill, Inc., New York, 1941), p. 333.Google Scholar
- 37.R. F. Wallis (private communication).Google Scholar
- 38.B. Donovan and T. Medcalf, Brit. J. Appl. Phys. 15, 1139 (1964).ADSCrossRefGoogle Scholar
- 39.J. Webster and B. Donovan, Brit. J. Appl. Phys. 16, 25 (1965).ADSCrossRefGoogle Scholar
- 40.S. J. Buchsbaum, Plasma Effects in Solids, Proceedings of the 7th International Conference on the Physics of Semiconductors, Paris 1964 (Dunod, Paris and Academic Press, New York, 1965) p. 3.Google Scholar
- 41.G. E. Smith, L. G. Hebel and S. J. Buchsbaum, Phys. Rev. 129, 154 (1963).ADSCrossRefGoogle Scholar
- 42.P. R. Wallace, J. Can. Phys. 46, 243 (1968).ADSCrossRefGoogle Scholar
- 43.R. Kaplan, E. D. Palik, R. F. Wallis, S. Iwasa, E. Burstein and Y. Sawada, Phys. Rev. Letters 18, 159 (1967).ADSCrossRefGoogle Scholar
- 44.E. Burstein, Dynamical Processes in Solid State Optics, Edited by R. Kubo and H. Kaminura (W. A. Benjamin, Inc., New York, 1967) p. 1.Google Scholar
- 45.G. Dresselhaus, A. F. Kip and G. Kittel, Phys. Rev. 100, 618 (1955).ADSCrossRefGoogle Scholar
- 46.D. W. Berreman, Phys. Rev. 130, 2193 (1963).ADSCrossRefGoogle Scholar
- 47.A. Mooradian and G. B. Wright, Phys. Rev. Letters 16, 999 (1966).ADSCrossRefGoogle Scholar
- 48.E. D. Palik, R. Kaplan, B. W. Henvis, J. R. Stevenson, S. Iwasa and E. Burstein, International Conference on the Physics of Semiconductors Moscow, 1968. (In press)Google Scholar
- 49.S. Teitler (private communication).Google Scholar
- 50.H. Levinstein, Appl. Opt. 4, 639 (1965).ADSCrossRefGoogle Scholar
- 51.A. Onton, P. Fisher and A. K. Ramdas, Phys. Rev. 163, 686 (1967).ADSCrossRefGoogle Scholar
- 52.S. Zwerdling, K. J. Button and B. Lax, Phys. Rev. 118, 975 (1960).ADSCrossRefGoogle Scholar
- 53.P. Fisher, A. K. Ramdas and J. H. Reuszer, Proceedings of the International Conference on Lattice Defects in Semiconductors, Edited by R. R. Hasiguti (University of Tokyo Press and The Pennsylvania State University Press 1968).Google Scholar
- 54.R. Kaplan, J. Phys. Soc. Japan Suppl. 21, 249 (1966).Google Scholar
- 55.B. D. McCombe and R. Kaplan, Phys. Rev. Letters 21, 756 (1968).ADSCrossRefGoogle Scholar
- 56.R. Kaplan and R. F. Wallis, Phys. Rev. Letters 20, 1499 (1968).ADSCrossRefGoogle Scholar
- 57.R. Kaplan, Phys. Rev. Letters 20, 329 (1968).ADSCrossRefGoogle Scholar
- 58.D. H. Dickey, E. J. Johnson and D. M. Larson, Phys. Rev. Letters 18, 599 (1967).ADSCrossRefGoogle Scholar
- 59.C. J. Summers, R. B. Dennis, B. S. Wherrett, P. G. Harper and S. D. Smith, Phys. Rev. 170, 755 (1968).ADSCrossRefGoogle Scholar